The decline and fall of Type II error rates

Steve P. Verrill; Mark Durst

doi:10.2737/FPL-RP-628

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The decline and fall of Type II error rates

Informally Refereed

Authors:

Steve P. Verrill, Mark Durst

Year:

2005

Type:

Research Paper

Station:

Forest Products Laboratory

DOI:

https://doi.org/10.2737/FPL-RP-628

Source:

Research Paper FPL-RP-628. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory. 11 p.

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Abstract

For general linear models with normally distributed random errors, the probability of a Type II error decreases exponentially as a function of sample size. This potentially rapid decline reemphasizes the importance of performing power calculations.

Keywords

Power, sample size, linear models, experimental design, noncentral F, normal tail, Mills’ ratio, asymptotic relative efficiency, Hodges-Lehmann efficiency, Pitman efficiency, minimum detectable difference

Citation

Verrill, Steve; Durst, Mark. 2005. The decline and fall of Type II error rates. Research Paper FPL-RP-628. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory. 11 p.